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We consider a sequential subset selection problem under parameter uncertainty, where at each time step, the decision maker selects a subset of cardinality $K$ from $N$ possible items (arms), and observes a (bandit) feedback in the form of…

Machine Learning · Computer Science 2019-01-07 Shipra Agrawal , Vashist Avadhanula , Vineet Goyal , Assaf Zeevi

Contextual dynamic pricing aims to set personalized prices based on sequential interactions with customers. At each time period, a customer who is interested in purchasing a product comes to the platform. The customer's valuation for the…

Machine Learning · Statistics 2023-03-07 Yiyun Luo , Will Wei Sun , and Yufeng Liu

We study the dynamic pricing problem with knapsack, addressing the challenge of balancing exploration and exploitation under resource constraints. We introduce three algorithms tailored to different informational settings: a Boundary…

Optimization and Control · Mathematics 2025-01-27 Ruicheng Ao , Jiashuo Jiang , David Simchi-Levi

Learning the optimal ordering of content is an important challenge in website design. The learning to rank (LTR) framework models this problem as a sequential problem of selecting lists of content and observing where users decide to click.…

Machine Learning · Computer Science 2023-05-12 James A. Grant , David S. Leslie

We study contextual dynamic pricing with linear valuations and bounded-support agnostic noise, whose induced demand curve may be non-Lipschitz with arbitrary jumps and atoms. Such discontinuities break the cross-context interpolation…

Machine Learning · Computer Science 2026-05-08 Jianyu Xu , Yu-Xiang Wang

We investigate online pricing in two-sided markets where a platform repeatedly posts prices based on binary accept/reject feedback to maximize gains-from-trade (GFT) or profit. We characterize the regret achievable across three mechanism…

Computer Science and Game Theory · Computer Science 2026-02-13 Yiding Feng , Mengfan Ma , Bo Peng , Zongqi Wan

In feature-based dynamic pricing, a seller sets appropriate prices for a sequence of products (described by feature vectors) on the fly by learning from the binary outcomes of previous sales sessions ("Sold" if valuation $\geq$ price, and…

Machine Learning · Computer Science 2022-04-04 Jianyu Xu , Yu-Xiang Wang

Contextual pricing strategies are prevalent in online retailing, where the seller adjusts prices based on products' attributes and buyers' characteristics. Although such strategies can enhance seller's profits, they raise concerns about…

Computer Science and Game Theory · Computer Science 2026-03-17 Pangpang Liu , Will Wei Sun

Bilateral trade models the task of intermediating between two strategic agents, a seller and a buyer, who wish to trade a good. We study this problem from the perspective of a profit-maximizing broker within an online learning framework,…

Computer Science and Game Theory · Computer Science 2026-05-14 Simone Di Gregorio , Paul Dütting , Federico Fusco , Chris Schwiegelshohn

Reflecting the greater significance of recent history over the distant past in non-stationary environments, $\lambda$-discounted regret has been introduced in online convex optimization (OCO) to gracefully forget past data as new…

Machine Learning · Computer Science 2025-05-27 Wenhao Yang , Sifan Yang , Lijun Zhang

Multinomial Logistic Bandits have recently attracted much attention due to their ability to model problems with multiple outcomes. In this setting, each decision is associated with many possible outcomes, modeled using a multinomial logit…

Machine Learning · Computer Science 2025-08-06 Sukruta Prakash Midigeshi , Tanmay Goyal , Gaurav Sinha

We consider dynamic pricing with many products under an evolving but low-dimensional demand model. Assuming the temporal variation in cross-elasticities exhibits low-rank structure based on fixed (latent) features of the products, we show…

Machine Learning · Computer Science 2019-09-12 Jonas Mueller , Vasilis Syrgkanis , Matt Taddy

We consider the problem of dynamic pricing with limited supply. A seller has $k$ identical items for sale and is facing $n$ potential buyers ("agents") that are arriving sequentially. Each agent is interested in buying one item. Each…

Computer Science and Game Theory · Computer Science 2013-11-27 Moshe Babaioff , Shaddin Dughmi , Robert Kleinberg , Aleksandrs Slivkins

This paper investigates the impact of pre-existing offline data on online learning, in the context of dynamic pricing. We study a single-product dynamic pricing problem over a selling horizon of $T$ periods. The demand in each period is…

Machine Learning · Computer Science 2021-11-18 Jinzhi Bu , David Simchi-Levi , Yunzong Xu

Ranking algorithms are fundamental to various online platforms across e-commerce sites to content streaming services. Our research addresses the challenge of adaptively ranking items from a candidate pool for heterogeneous users, a key…

Machine Learning · Computer Science 2024-06-10 Jingyuan Wang , Perry Dong , Ying Jin , Ruohan Zhan , Zhengyuan Zhou

We study a constrained contextual linear bandit setting, where the goal of the agent is to produce a sequence of policies, whose expected cumulative reward over the course of $T$ rounds is maximum, and each has an expected cost below a…

Machine Learning · Computer Science 2020-06-20 Aldo Pacchiano , Mohammad Ghavamzadeh , Peter Bartlett , Heinrich Jiang

Dynamic pricing is crucial in sectors like e-commerce and transportation, balancing exploration of demand patterns and exploitation of pricing strategies. Existing methods often require precise knowledge of the demand function, e.g., the…

Machine Learning · Computer Science 2025-03-04 Xueping Gong , Jiheng Zhang

We consider a high-dimensional dynamic pricing problem under non-stationarity, where a firm sells products to $T$ sequentially arriving consumers that behave according to an unknown demand model with potential changes at unknown times. The…

Methodology · Statistics 2023-03-21 Zifeng Zhao , Feiyu Jiang , Yi Yu , Xi Chen

Devising dynamic pricing policy with always valid online statistical learning procedure is an important and as yet unresolved problem. Most existing dynamic pricing policy, which focus on the faithfulness of adopted customer choice models,…

Machine Learning · Statistics 2023-11-22 Chi-Hua Wang , Zhanyu Wang , Will Wei Sun , Guang Cheng

We study the problem of \emph{dynamic regret minimization} in $K$-armed Dueling Bandits under non-stationary or time varying preferences. This is an online learning setup where the agent chooses a pair of items at each round and observes…

Machine Learning · Computer Science 2022-06-14 Aadirupa Saha , Shubham Gupta